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kipiarov [429]
3 years ago
15

2-31 The following grade-point averages apply to a random sample of graduating seniors. 3.812.732.513.093.28 3.512.861.203.133.2

4 Calculate: (a) sample range
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer:

The sample range is 2.61.

Step-by-step explanation:

We are given the following grade-point averages which apply to a random sample of graduating seniors below;

3.81, 2.73, 2.51, 3.09, 3.28, 3.51, 2.86, 1.20, 3.13, and 3.24.

As we know that the range of the data is calculated bu using the following formula;

               Range = Highest value in the data - Lowest value in the data

Here, Highest value = 3.81

          Lowest value = 1.20

So, the sample data range = 3.81 - 1.20

                                              = 2.61.

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Answer:

Confidence interval:  (0.04649,0.04913)

Step-by-step explanation:

We are given the following in the question:

Sample size, n =  100,000

Number of people who donated, x = 4781

\hat{p} = \dfrac{x}{n} = \dfrac{4781}{100000} = 0.04781


95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

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The parameter of interest in this scenario is the proportion of all 1,000 students within the school who have "strict" parents or guardians.

<h3>How to calculate a test statistic?</h3>

In Mathematics, the test statistics of a given sample is calculated by using this formula:

Z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }

<u>Where:</u>

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In conclusion, a possible test statistic which can be used to estimate this parameter is the proportion of all students who have "strict" parents or guardians, based on the collected sample.

Read more on test statistic here: brainly.com/question/4621112

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